The size of exponential sums on intervals of the real line

Tamás Erdélyi, Kaveh Khodjasteh, Lorenza Viola

We prove that there is a constant $c>0$ depending only on $M\ge 1$ and $\mu \ge 0$ such that $${\int }_y^{y+a}|g(t)|dt\ge \exp (-c/(a\delta )),a\in (0,\pi ],$$ for every $g$ of…